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By D.M. R. Taplin

ISBN-10: 0080221424

ISBN-13: 9780080221427

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Extra info for Analysis and Mechanics. Fourth International Conference on Fracture June 1977 University of Waterloo, Canada

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A crack in an elastic material in pure hydrostatic tension will extend along a line coincident with the axis, A A', of the crack as shown in Figure 3. It appears that the direction of crack growth takes place along the direction where the distortion strain energy is minimum. d2S dS ^ = 0 at 9 = 6 o a n d ^ > 0 . 16 (7) Part V - Analysis and Mechanics The resistance to crack growth is determined by the total strain energy density which reaches a critical value, S 1 ,,^^, at 0 crit* o' crit V + S d' at 6 = 0 (8) UNIAXIAL TENSION For a crack extending in a mixed mode system, Kj and KJJ are given by the following expressions.

1 h initial crack tip I 30 20 25 A I DISTANCE FROM CENTRE OF CRACK, x (mm) Figure 6 Shape of the crack as measured after 40 percent crack growth 31 Fracture 1977, Volume 3, ICF4, Waterloo, Canada, June 19 - 24, 1977 SELF-SIMILAR PRESSURE PROFILES IN THE SYMMETRICALLY EXTENDING PLANE CRACK Finn Ouchterlony* INTRODUCTION Much of the author's recent work has involved Fracture Mechanics analysis of rock destruction. In one case, the different stages of the breaking process in rock blasting were modelled by various static radial crack systems in [1].

It was found that reversed plastic flow is im­ mediately initiated, while crack closure is first observed at about zero 28 Part V - Analysis and Mechanics load level midway between the crack tips. From there on crack closure proceeds towards the tips. However, all FEM results obtained for a blunted crack tip show that the tip itself remains open, even after application of compressive loading forces of the same order of magnitude as the original tensile peak load. From these observations it is con­ cluded that stable crack growth has a tremendous effect on the deformation fields in the crack tip zone.

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Analysis and Mechanics. Fourth International Conference on Fracture June 1977 University of Waterloo, Canada by D.M. R. Taplin

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